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230144400220 = 22576126948993
BaseRepresentation
bin1101011001010110101…
…1001101101101011100
3211000001011021212201211
43112111223031231130
512232313431301340
6253421001114204
722425123060520
oct3262553155534
9730034255654
10230144400220
1189670572259
123872aa88964
13189195a2397
14b1d3797d80
155ebeac35ea
hex3595acdb5c

230144400220 has 48 divisors (see below), whose sum is σ = 561401443008. Its totient is φ = 77613096960.

The previous prime is 230144400209. The next prime is 230144400223. The reversal of 230144400220 is 22004441032.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 230144400191 and 230144400200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230144400223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13465957 + ... + 13483036.

It is an arithmetic number, because the mean of its divisors is an integer number (11695863396).

Almost surely, 2230144400220 is an apocalyptic number.

230144400220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230144400220 is an abundant number, since it is smaller than the sum of its proper divisors (331257042788).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230144400220 is a wasteful number, since it uses less digits than its factorization.

230144400220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26949070 (or 26949068 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 230144400220 its reverse (22004441032), we get a palindrome (252148841252).

The spelling of 230144400220 in words is "two hundred thirty billion, one hundred forty-four million, four hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 122 140 244 305 427 610 854 1220 1708 2135 4270 8540 26948993 53897986 107795972 134744965 188642951 269489930 377285902 538979860 754571804 943214755 1643888573 1886429510 3287777146 3772859020 6575554292 8219442865 11507220011 16438885730 23014440022 32877771460 46028880044 57536100055 115072200110 230144400220